An Introduction to Rings and Modules pdf epub mobi txt 电子书下载 2024

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Berrick, A. J./ Keating, M. E.

Cambridge Univ Pr

2000-5

284

$ 113.00

HRD

9780521632744

图书标签: 数学 Rings Modules 代数 to in and With

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发表于2024-07-01

An Introduction to Rings and Modules epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

An Introduction to Rings and Modules pdf epub mobi txt 电子书下载 2024

图书描述

This book, first published in 2000, is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. Starting from definitions, the book introduces fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It then explores the structure of modules over various types of ring: noncommutative polynomial rings, Artinian rings (both semisimple and not), and Dedekind domains. It also shows how Dedekind domains arise in number theory, and explicitly calculates some rings of integers and their class groups. About 200 exercises complement the text and introduce further topics. This book provides the background material for the authors' companion volume Categories and Modules, soon to appear. Armed with these two texts, the reader will be ready for more advanced topics in K-theory, homological algebra and algebraic number theory.

An Introduction to Rings and Modules 下载 mobi epub pdf txt 电子书